English

The $h$-edge tolerable diagnosability of balanced hypercubes

Combinatorics 2019-04-16 v1

Abstract

To measure the fault diagnosis capability of a multiprocessor system with faulty links, Zhu et al. [Theoret. Comput. Sci. 758 (2019) 1--8] introduced the hh-edge tolerable diagnosability. This kind of diagnosability is a generalization of the concept of traditional diagnosability. In this paper, as complement to the results in [Theoret. Comput. Sci. 760 (2019) 1--14], we completely determine the hh-edge tolerable diagnosability of balanced hypercubes BHnBH_n under the PMC model and the MM^* model. Thus, the traditional diagnosability of BHnBH_n is also determined.

Cite

@article{arxiv.1904.07020,
  title  = {The $h$-edge tolerable diagnosability of balanced hypercubes},
  author = {Min Xu and Yulong Wei},
  journal= {arXiv preprint arXiv:1904.07020},
  year   = {2019}
}

Comments

15 pages, 6 figures. This article was submitted to Theoretical Computer Science on February 1st, 2019. This is the revised version of this article

R2 v1 2026-06-23T08:39:44.882Z